A Possible Solution of the Number Series on Pages 51 to 58 of the Dresden Codex — John Shaqi
A Possible Solution of the Number Series on Pages 51 to 58 of the Dresden CodexGuthe, Carl E. (Carl Eugen)
Science
A Possible Solution of the Number Series on Pages 51 to 58 of the Dresden Codex
Guthe, Carl E. (Carl Eugen)
Codex Dresdensis Maya
Professor Willson believes that the table in the manuscript indicates
the days of ecliptic conjunction (that is, New Moon occurring so near
the moon’s node that eclipses _may_ occur) and, as Mr. Bowditch has
shown, with a high degree of accuracy. Sufficient proof of this, in
Professor Willson’s opinion, is the close correspondence of the
intervals of the codex with the intervals of Schram’s lunar table.[24]
[24] Schram, 1908, pp. 358, 359.
The similarity between the numbers in the Dresden and Schram’s table is
so remarkable that it seems advisable to point out some of the most
outstanding features. In addition to giving the days of multiples of the
lunar synodic months, this table also gives the time of possible
occurrences of both solar and lunar eclipses. Eclipses occur in cycles,
the best known of which is the Saros, although there are also smaller
cycles which are not so accurate. Table V (p. 17) gives the occurrences
of central solar eclipses according to Schram. It should be noticed that
they occur in groups of threes and fours, each set being separated from
the preceding one by 29 synodical months. The numbers in each group are
only six months apart. Table VI (p. 17) is a corresponding series of
lunar eclipses, which also occur in a grouping similar to that of the
solar eclipses. It should be noticed in passing that the first numbers
of these groups, in both the solar and lunar eclipses are separated by
47 and 41 lunations, the latter occurring after every third group in
Table V.
Table VII (p. 17) contains the numbers which are in the same columns as
the 178-day groups in the Dresden. By comparing Table V and Table VII,
it will be found that the numbers in the Dresden are the same as the
first numbers in groups 1, 2, 4, 5, 7 and 8 of the solar eclipses. In
the last two numbers there is a difference of one day, which is
explained by recalling the addition of an extra day in the day series
but not in the upper numbers of the Dresden. If 679 days are added to
each number in Table VII, which amounts to the same thing as advancing
the Dresden table 679 days with respect to Schram’s table, it will be
found that these numbers will also agree with the first numbers in
groups 2, 3, 5, 6 and 8 and with the second number in group 9 of the
lunar eclipses, in Table VI. A similar agreement may be observed for the
148-day groups (see Table III).
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